9514 1404 393
Answer:
96 yards
Step-by-step explanation:
The diagonal through the park cuts the rectangle into two right triangles. The Pythagorean theorem tells you the relationship between the sides of a right triangle and its hypotenuse: the sum of the squares of the sides is equal to the square of the hypotenuse.
The diagonal is the hypotenuse, so we have ...
100² = 28² + w²
w = √(10000 -784) = 96
The width of the park is 96 yards.
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<em>Additional comment</em>
The integer side lengths of a right triangle form what is called a "Pythagorean triple." One of the most often seen of these is (3, 4, 5). Other commonly seen Pythagorean triples are (5, 12, 13), (7, 24, 25), (8, 15, 17).
You may notice that the numbers here are those of the (7, 24, 25) Pythagorean triple, multiplied by 4. If you recognize the given lengths as having the ratio 28:100 = 7:25, you have the clue you need to determine the answer simply from your knowledge of Pythagorean triples.
A. There is a positive correlation between the temperature and the amount of ice cream sold. This means that as the temperature increases the amount of ice cream also increases.
B. For the best fit you must calculate the slope between two points that are more-or-less representative of the entire graph. In this case it seems to have already done this with certain points so if you take the points (15,35) and (0,5) you can calculate the slope between these two points which is m=(35-5)/(15-0)=30/15=2. So the best fit slope for this particular case would be two and you would just draw a line through the graph at approximately the middle of the dots to best represent all of the data.
and the y-intercept is 5 so the approximate equation for the graph would be y=2x+5
Adding on to the previous, estimate FRACTIONS of the chart, and then figure out the percentage of those fractions
